What is the variable equal to? math_var2 = 26 % 7
Understand the Problem
The question is asking to find the value of a variable that is defined by the modulo operation, which gives the remainder of the division of 26 by 7.
Answer
$5$
Answer for screen readers
The final answer is $5$.
Steps to Solve
- Set up the modulo operation
First, we need to understand what the modulo operation is. Modulo gives the remainder of the division of one number by another. Here, we need to compute $26 \mod 7$.
- Divide and find the remainder
To find $26 \mod 7$, we first divide 26 by 7.
The integer part of the division is calculated as: $$ 26 \div 7 = 3 $$
- Calculate the product of the divisor and quotient
Next, we multiply the quotient (3) by the divisor (7): $$ 3 \times 7 = 21 $$
- Find the remainder
Now, we subtract this product from the original number (26) to find the remainder: $$ 26 - 21 = 5 $$
This means that: $$ 26 \mod 7 = 5 $$
The final answer is $5$.
More Information
The modulo operation is frequently used in computer science and mathematics, especially in programming for tasks like determining if a number is even or odd, or wrapping around values in cyclic data structures.
Tips
- A common mistake is miscalculating the division, possibly overlooking the integer part and taking the full decimal result instead.
- Another mistake is forgetting to subtract the product from the original number to find the remainder.
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